Ph.D. Mathematics


For the award of Ph.D. Mathematics degree, candidates will be required to complete 18 credit hours of coursework along with completion and successful defense of the research thesis. Moreover, the candidate will have to publish at least one paper out of his/her thesis.  The minimum duration of the program will be 03 years (extendable up to 8 years) subject to approval by the competent authority.


Research thesis will be got evaluated from three reputed experts in Mathematics (01 from Pakistan and 02 from foreign HEC listed countries)

Eligibility Criteria

  • Have an MS/M.Phil. (Mathematics)/Equivalent degree in 1st Division or minimum CGPA 3.00 out of 4.00
  • Have passed GRE Mathematics (International) with 60% marks or ISP admission test with 60% marks
  • Have pass an interview conducted by the Department of Mathematics

Scheme of Studies for Ph.D. Mathematics Program

Elective I
Elective II
Elective III
Elective IV
Elective V
Elective VI
Research Thesis
Elective Courses
Viscous Fluids I
Optimization Theory
Perturbation Method I
Advanced Fixed-Point Theory
Numerical Solutions of Ordinary Differential Equations
Topics in Ring Theory
Numerical Linear Algebra
Approximation Theory and Application
Lattice Theory
Variational Inequalities and Applications
Integral Inequalities
Numerical Solutions of Partial Differential Equations I
Newtonian Fluid Mechanics
Physical Turbulent Flows
Advanced Topics in Graph Theory
Commutative Algebra I
Advanced Topology I
General Relativity
Numerical Optimization
Finite Fields
Fuzzy Logic and its Applications
Parallel Solutions of Partial Differential Equations
MHD and Porous Media
Advanced Modern Algebra with Applications
Representation Theory of Finite Groups
Classical Theory of Fields
Momentum and Thermal Boundary Layer Theory
Stochastic Processes
Convolutions in Geometric function Theory
Semigroup Theory
Financial Mathematics
Mathematical Techniques for Boundary Value Problems
Heat and Mass Transfer
Relativistic Theory of Black Holes
Theory of Abel Grassmann’s Groupoids
Symmetry Methods in Differential Equations
General Linear Models
Rings and Modules
Continuum Mechanics
Numerical Simulation of Reactive Flows
BCI Algebras
Direct and Inverse Problems in Wave Propagation
Commutative Algebra and Algebraic Geometry
Hilbert Space Methods
Fuzzy Graphs and Hypergraphs
Topics in Numerical Analysis I
Topics in Measure Theory
Fractional Calculus
Advanced Partial Differential Equations
Fluid and Thermodynamics
Magneto Hydrodynamics
Fractional Differential Equations
Fuzzy Group Theory
Non-Newtonian Fluid Mechanics
Advanced Mathematical Analysis
Advanced Linear Algebra
Advanced Integral Equations
Graph Valuation Theory
Advanced Analytic Dynamics
Advanced Convex Analysis
BCK Algebra Theory
Advanced Numerical Analysis
Theory of Spline Functions
Viscous Fluid II
Representation Theory
Advanced Measure Theory
Complex Analysis of Several Variables
Spectral Methods in Fluid Dynamics
Fuzzy Analysis
Advanced Topics in Graph Valuation Theory
Complexity Theory
Turbulence Modeling
Advanced Differential Equations
Commutative Algebra II
Perturbation Methods II
Boundary Layer Flows
Homological Algebra
Field Extension and Galois Theory
Numerical Solutions of Partial Differential Equations II
General Relativity
Topics in Numerical Analysis II
Near Ring II